Multiple choice

Select the missing term from the given alternatives to complete the series. 16, 15, 36, 35, 64, ?

  1. 68

  2. 63

  3. 62

  4. 65

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

This series alternates between squares of even numbers and consecutive integers decreasing by 1: 16, 15, 36, 35, 64, ?. The squares are 4^2=16, 6^2=36, 8^2=64 (even numbers incrementing by 2). The numbers following the squares decrease: 15, 35, ?. Pattern: square-1 gives the next term. Following this: 64-1=63. Therefore, the next term is 63. Option B is correct. An alternate view: pairs are (n^2, n^2-1) for n=4,6,8, so next is 8^2-1=63.